Results 51 to 60 of about 219 (69)

Solitons of a simple nonlinear model on the cubic lattice

, 2017
We study a simple nonlinear model defined on the cubic lattice. We propose a bilinearization scheme for the field equations and demonstrate that the resulting system is closely related to the well-studied integrable models, such as the Hirota bilinear ...
Vekslerchik, V. E.
core   +1 more source

Mathematical analysis of some new adequate broad-ranging soliton solutions of nonlinear models through the recent technique

Partial Differential Equations in Applied Mathematics
The Bogoyavlenskii and the simplified modified Camassa-Holm (SMCH) models are studied through the recent technique namely auxiliary equation method in this paper.
M. Ashikur Rahman, M. Al-Amin, Mst. Kamrunnaher, M. Abul Kawser, Rajaul Haque, M. Ali Akbar, M. Nurul Islam   +6 more
doaj   +1 more source

The Rogue Wave and breather solution of the Gerdjikov-Ivanov equation

, 2011
The Gerdjikov-Ivanov (GI) system of $q$ and $r$ is defined by a quadratic polynomial spectral problem with $2 \times 2$ matrix coefficients. Each element of the matrix of n-fold Darboux transformation of this system is expressed by a ratio of $(n+1 ...
Gerdjikov V. S., Jingsong He, Pei L. M., Shuwei Xu, Zakharov V. E.   +4 more
core   +1 more source

Signatures of partition functions and their complexity reduction through the KP II equation

, 2018
A statistical amoeba arises from a real-valued partition function when the positivity condition for pre-exponential terms is relaxed, and families of signatures are taken into account.
Baxter R. J., Bjorner A., Cover T. M., Dubrovin B., Feynman R. P., Feynman R. P., Gantmacher F. R., Gelfand I. M., Hastie T., Hirota R., Hogben L., Kleinert H., Landau L. D., Ma P., Mario Angelelli, Miwa T., Richter-Gebert J., Sato M.   +17 more
core   +1 more source

Self-similar solutions to the mean curvature flow in $\mathbb{R}^{3}$

, 2020
In this paper we make an analysis of self-similar solutions for the mean curvature flow (MCF) by surfaces of revolution and ruled surfaces in $\mathbb{R}^{3}$.
Leandro, Benedito, Novais, Rafael, Reis, Hiuri F. S. dos   +2 more
core  

Diverse soliton wave profile assessment to the fractional order nonlinear Landau-Ginzburg-Higgs and coupled Boussinesq-Burger equations

Results in Physics
The space–time fractional Landau-Ginzburg-Higgs equation and coupled Boussinesq-Burger equation describe the behavior of nonlinear waves in the tropical and mid-latitude troposphere, exhibiting weak scattering, extended connections, arising from the ...
Anamika Podder, Mohammad Asif Arefin, Khaled A. Gepreel, M. Hafiz Uddin, M. Ali Akbar   +4 more
doaj   +1 more source

Hylomorphic solitons and charged Q-balls : existence and stability [PDF]

, 2014
In this paper we present a general theoretical framework from which several known results (a some new ones) on the existence and stability of solitons can be recovered.
BENCI, VIERI, Fortunato, Donato
core  

Higher order solitary solutions to the meta-model of diffusively coupled Lotka-Volterra systems. [PDF]

Adv Differ Equ, 2021
Timofejeva I, Telksnys T, Navickas Z, Marcinkevicius R, Ragulskis M.   +4 more
europepmc   +1 more source

Computational analysis and wave propagation behavior of hyper-geometric soliton waves in plasma physics via the auxiliary equation method

Partial Differential Equations in Applied Mathematics
This study investigate the widely used nonlinear fractional Kairat-II (K-II) model, which is used to explain the differential geometry of curves and equivalence aspects.
M. Al-Amin, M. Nurul Islam, M. Ali Akbar
doaj   +1 more source

Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense

Partial Differential Equations in Applied Mathematics
This study examines how Stratonovich integrals (SIs) affect the solutions of the Heisenberg ferromagnetic spin chain (HFSC) equation using the modified (G'/G)-expansion (MG'/GE) scheme.
Md. Nur Alam
doaj   +1 more source